Elliptic curve data - 24336.t1

Formats: - HTML - YAML - JSON - 2024-06-08T06:22:13.197625

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '24336l', 'Clabel': '24336l4', 'Cnumber': 4, 'abc_quality': 0.9567914796065754, 'absD': 307327192685540352, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 624, 'ainvs': [0, 0, 0, -462891, -118246934], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 24336, 'degree': 344064, 'elladic_images': ['16.24.0.20'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1346142883206817011234689672', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [3044193988, 85293], 'lmfdb_iso': '24336.t', 'lmfdb_label': '24336.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -304, -1892], 'min_quad_twist_disc': 156, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '12.12.0-4.c.1.2', '16.24.0-8.o.1.1', '24.24.0-8.o.1.1', '26.6.0.b.1', '48.48.0-48.i.1.15', '52.12.0.g.1', '104.48.0.?', '156.24.0.?', '208.96.0.?', '312.96.0.?', '624.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27478918521076260378192413993', 'prec': 107}, 'szpiro_ratio': 5.0248307686819915, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 8, 0], 'aplist': [0, 0, -2, 4, 0, 0, -2, 8, 8, 2, 4, 10, 2, 4, 12, -6, 0, -2, 8, 12, -10, 8, 0, -14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 24336, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '24336.t', 'trace_hash': 591261699235869384}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.013992573188765773189716631924', 'prec': 107}, 'conductor': 24336, 'gens': [], 'heights': [], 'lmfdb_label': '24336.t1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18334677104718905616449030807', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9335483367550248986318449291573741725', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-442, 0, 1]], 'xcoord_integral_points': [-442]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '24336.t1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 1229014
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '24336.t1', 'torsion': [2, 2]}
  • id: 1229016
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '24336.t1', 'torsion': [4]}
  • id: 1229015
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '24336.t1', 'torsion': [4]}
  • id: 1229017
    {'degree': 4, 'field': [9, 3, 4, -1, 1], 'lmfdb_label': '24336.t1', 'torsion': [2, 4]}
  • id: 1229021
    {'degree': 8, 'field': [-1026, -108, -594, -360, -36, -126, 4, -4, 1], 'lmfdb_label': '24336.t1', 'torsion': [6]}
  • id: 1229019
    {'degree': 8, 'field': [100, 0, -96, 0, 41, 0, -6, 0, 1], 'lmfdb_label': '24336.t1', 'torsion': [8]}
  • id: 1229018
    {'degree': 8, 'field': [169, 0, 0, 0, -182, 0, 0, 0, 1], 'lmfdb_label': '24336.t1', 'torsion': [2, 4]}
  • id: 1229020
    {'degree': 8, 'field': [2704, 0, 1352, 0, 624, 0, 26, 0, 1], 'lmfdb_label': '24336.t1', 'torsion': [2, 8]}
  • id: 1229023
    {'degree': 16, 'field': [81, -54, 18, 168, -119, 10, 194, -130, 12, 104, -56, -2, 33, -20, 8, -4, 1], 'lmfdb_label': '24336.t1', 'torsion': [2, 8]}
  • id: 1229026
    {'degree': 16, 'field': [13689, 27378, 82134, -79092, 42588, 27378, -20540, 884, 9165, -3042, 312, 624, -192, 36, 12, -4, 1], 'lmfdb_label': '24336.t1', 'torsion': [12]}
  • id: 1229025
    {'degree': 16, 'field': [20164, 0, -88028, 0, 166636, 0, -145076, 0, 58609, 0, -9980, 0, 886, 0, -44, 0, 1], 'lmfdb_label': '24336.t1', 'torsion': [12]}
  • id: 1229022
    {'degree': 16, 'field': [38416, 0, 29792, 0, 16832, 0, 6432, 0, 1436, 0, -432, 0, -16, 0, -4, 0, 1], 'lmfdb_label': '24336.t1', 'torsion': [4, 4]}
  • id: 1229024
    {'degree': 16, 'field': [173889, 0, -179260, 0, 245956, 0, -171732, 0, 58718, 0, -10748, 0, 1056, 0, -52, 0, 1], 'lmfdb_label': '24336.t1', 'torsion': [2, 6]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 558340
    {'conductor': 24336, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '24336.t1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 558341
    {'conductor': 24336, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '24336.t1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 558342
    {'conductor': 24336, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '24336.t1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1826700
    {'adelic_gens': [[415, 608, 200, 495], [88, 615, 409, 598], [1, 16, 0, 1], [15, 166, 338, 579], [1, 8, 8, 65], [319, 322, 298, 359], [1, 0, 16, 1], [155, 462, 544, 221], [609, 16, 608, 17]], 'adelic_image': '624.192.3.?', 'conductor': 24336, 'lmfdb_label': '24336.t1', 'prime': 0}
  • id: 111516
    {'conductor': 24336, 'elladic_image': '16.24.0.20', 'lmfdb_label': '24336.t1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 24336.t does not appear in ec_padic